University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 39 - Particles Behaving as Waves - Problems - Exercises - Page 1319: 39.89

Answer

Choice A.

Work Step by Step

Find the energy from the wavelength. For a nonrelativistic ion, $E=\frac{p^2}{2m}=\frac{h^2}{2m\lambda^2}$. $$E=\frac{(6.626\times10^{-34}J \cdot s)^2}{2(7300)(9.11\times10^{-31}kg)(0.1\times10^{-12}m)^2}$$ $$E= 3.3\times10^{-15}J=2.1\times10^4 eV$$ We see that the voltage required is 21 kV.
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